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Simplifying -4(t + -6) + -1(t + 3) = 3 Reorder the terms: -4(-6 + t) + -1(t + 3) = 3 (-6 * -4 + t * -4) + -1(t + 3) = 3 (24 + -4t) + -1(t + 3) = 3 Reorder the terms: 24 + -4t + -1(3 + t) = 3 24 + -4t + (3 * -1 + t * -1) = 3 24 + -4t + (-3 + -1t) = 3 Reorder the terms: 24 + -3 + -4t + -1t = 3 Combine like terms: 24 + -3 = 21 21 + -4t + -1t = 3 Combine like terms: -4t + -1t = -5t 21 + -5t = 3 Solving 21 + -5t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -5t = 3 + -21 Combine like terms: 21 + -21 = 0 0 + -5t = 3 + -21 -5t = 3 + -21 Combine like terms: 3 + -21 = -18 -5t = -18 Divide each side by '-5'. t = 3.6 Simplifying t = 3.6
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